Moving mesh FSI approach for VIV simulation based on DG method with AMR technique
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arXiv
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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | |
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| _version_ | 1866915224470159360 |
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| author | Zou, Jia-Jun Liu, Yun-Long Kong, Qi Zhang, A-Man |
| author_facet | Zou, Jia-Jun Liu, Yun-Long Kong, Qi Zhang, A-Man |
| contents | Vortex-induced vibration (VIV) remains a fundamental yet computationally
challenging problem in computational fluid dynamics (CFD). This study develops a moving mesh Fluid-structure interaction (FSI) algorithm within a Runge-Kutta
Discontinuous Galerkin (RKDG) adaptive mesh refinement (AMR) framework. The viscous term in the compressible Navier-Stokes (NS) equations is discretized using
the high-order Interior Penalty Discontinuous Galerkin (IPDG)
method. In addition to the above, key numerical advancements encompass
the rigorous derivation of the Lax-Friedrichs (L-F) numerical flux formulation
tailored for moving meshes, an enhanced AMR-driven nodal correction
methodology designed for curved surface geometries,
and the implementation of a ghost-node boundary condition treatment scheme
to address dynamic mesh motion. Numerical validation proceeds through three phases:
First, Couette flow simulations confirm the IPDG method's spatial
convergence order. Subsequent analysis of unsteady flow past a cylinder
demonstrate the AMR framework's efficacy in resolving vortex-dominated flow.
Finally, six VIV benchmark cases are simulated using third-order IPDG discretization,
establishing the proposed FSI algorithm's accuracy. Furthermore, synthetic jets (SJs) flow control is investigated through
four frequency-variant SJs configurations. The results reveal that SJs can achieve completely
VIV suppression at a low actuation frequency, while higher actuation
frequencies reduce suppression efficiency due
to the energy of the SJs is more in the form of acoustic wave. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_24134 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Moving mesh FSI approach for VIV simulation based on DG method with AMR technique Zou, Jia-Jun Liu, Yun-Long Kong, Qi Zhang, A-Man Fluid Dynamics Vortex-induced vibration (VIV) remains a fundamental yet computationally challenging problem in computational fluid dynamics (CFD). This study develops a moving mesh Fluid-structure interaction (FSI) algorithm within a Runge-Kutta Discontinuous Galerkin (RKDG) adaptive mesh refinement (AMR) framework. The viscous term in the compressible Navier-Stokes (NS) equations is discretized using the high-order Interior Penalty Discontinuous Galerkin (IPDG) method. In addition to the above, key numerical advancements encompass the rigorous derivation of the Lax-Friedrichs (L-F) numerical flux formulation tailored for moving meshes, an enhanced AMR-driven nodal correction methodology designed for curved surface geometries, and the implementation of a ghost-node boundary condition treatment scheme to address dynamic mesh motion. Numerical validation proceeds through three phases: First, Couette flow simulations confirm the IPDG method's spatial convergence order. Subsequent analysis of unsteady flow past a cylinder demonstrate the AMR framework's efficacy in resolving vortex-dominated flow. Finally, six VIV benchmark cases are simulated using third-order IPDG discretization, establishing the proposed FSI algorithm's accuracy. Furthermore, synthetic jets (SJs) flow control is investigated through four frequency-variant SJs configurations. The results reveal that SJs can achieve completely VIV suppression at a low actuation frequency, while higher actuation frequencies reduce suppression efficiency due to the energy of the SJs is more in the form of acoustic wave. |
| title | Moving mesh FSI approach for VIV simulation based on DG method with AMR technique |
| topic | Fluid Dynamics |
| url | https://arxiv.org/abs/2503.24134 |